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In the following exercises, solve the following systems of equations by graphing. $\left\{\begin{array}{l}4 x=3 y+7 \\ 8 x-6 y=14\end{array}\right.$

   In the following exercises, solve the following systems of equations by graphing.
$\left\{\begin{array}{l}4 x=3 y+7 \\ 8 x-6 y=14\end{array}\right.$
Intermediate Algebra
Intermediate Algebra
Lynn Marecek 1st Edition
Chapter 4, Problem 22 ↓
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In the following exercises, solve the following systems of equations by graphing. $\left\{\begin{array}{l}4 x=3 y+7 \\ 8 x-6 y=14\end{array}\right.$
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Transcript

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00:01 I want to solve both of these equations by graphing.
00:03 I want to do that, i'm going to turn them into y equals mx plus b form.
00:08 So that's going to be slope and y intercept.
00:11 So for the first case, i'm actually going to bring the seven over this way.
00:14 So then i rewrite this in a different order.
00:16 So it looks like this.
00:17 3y is equal to 4x minus 7.
00:20 From there, i need to divide everything by 3.
00:24 And that's going to give 4 thirds x minus 7 thirds.
00:28 So that's into y equals mx plus b form.
00:31 For this one, we'll bring the 8x over to this side.
00:34 So it's a negative 6y is equal to a negative 8x plus 14.
00:39 Then divide everything by a negative 6.
00:42 So negative 8 over negative 6 is going to become positive and reduces to 4 over 3.
00:47 14 over negative is going to be negative and that's going to reduce to 7 over 3.
00:53 So from here, my y intercept is negative 7 thirds and positive 4 thirds for the slope.
00:59 So i crossed that at negative, be 2...
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